In a set of three numbers, the average of first two numbers is 2, the average of the last two numbers Is 3 and the average of the first and the last numbers is 4. What is the average of three numbers?
- 2
- 3
- 2.5
- 3.5
Explanation
Let the three numbers be x,y,z
(x+y)/2=2
(y+z)/2=3
(x+z)/2=4
from all equations,
x+y=4
y+z=6
x+z = 8
Add all equations
2(x+y+z) = 18
x+y+z = 9
Avg of 3 nos = (x+y+z)/3
= 9/3
= 3
ND5-07-2023
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